On some sums at the $a$-points of the $k$-th derivatives of the Dirichlet $L$-functions

Authors

MOHAMMED MEKKAOUI
ABDALLAH DERBAL
KAMEL MAZHOUDA

Abstract

Let $L^{(k)}(s,\chi)$ be the $k$-th derivative of the Dirichlet L-function associated with a primitive character $\chi$ mod $q$ and $a$ be a complex number. The solutions of $L^{(k)}(s,\chi)=a$ are called $a$-points. In this paper, we give an asymptotic formula for the sums

DOI

10.3906/mat-2002-98

Keywords

Dirichlet $L$-function, $a$-points, value-distribution

First Page

1544

Last Page

1560

Recommended Citation

MEKKAOUI, MOHAMMED; DERBAL, ABDALLAH; and MAZHOUDA, KAMEL (2020) "On some sums at the $a$-points of the $k$-th derivatives of the Dirichlet $L$-functions," Turkish Journal of Mathematics: Vol. 44: No. 5, Article 3. https://doi.org/10.3906/mat-2002-98
Available at: https://journals.tubitak.gov.tr/math/vol44/iss5/3